Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
Answer:
12x^2-22x-14
Step-by-step explanation
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Answer:
Step-by-step explanation:
"one half the sum of a number and 4" is (1/2)(n + 4)
"three less than the quotient of 5 and the number" is 5/n - 3
putting this all together, we get
(1/2)(n + 4) = (5/n) - 3
Answer:
3/8
Step-by-step explanation:
HHT,THH, and TTH are the 3 outcomes with 1 head out of 8 total outcomes
